Problems on Trains - ( Arithmetic Aptitude)

  1. km/hr to m/s conversion:
    akm/hr = ax 5 m/s.
    18
  2. m/s to km/hr conversion:
  3. am/s = ax 18 km/hr.
    5
  4. Time taken by a train of lengthlmetres to pass a pole or standing man or a signal post is equal to the time taken by the train to coverlmetres.
  5. Time taken by a train of lengthlmetres to pass a stationery object of lengthbmetres is the time taken by the train to cover (l+b) metres.
  6. Suppose two trains or two objects bodies are moving in the same direction atum/s andvm/s, whereu>v, then their relative speed is = (u-v) m/s.
  7. Suppose two trains or two objects bodies are moving in opposite directions atum/s andvm/s, then their relative speed is = (u+v) m/s.
  8. If two trains of lengthametres andbmetres are moving in opposite directions atum/s andvm/s, then:
    The time taken by the trains to cross each other = (a+b) sec.
    (u+v)
  9. If two trains of lengthametres andbmetres are moving in the same direction atum/s andvm/s, then:
    The time taken by the faster train to cross the slower train = (a+b) sec.
    (u-v)
  10. If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they takeaandbsec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b:a)